Respuesta :

S1NGH

Answer:

y = 8.9

Step-by-step explanation:

Use Pythagoras Theorem a² = b² + c²

In this case a = 12 and c = 8 so,

12² = b² + 8²

( Simplify )

144 = b² + 64

( Minus 64 from both sides to isolate b² )

80 = b²

( Square root to isolate b )

8.94427191 = b

mathstudent55

Answer:

8.9

Step-by-step explanation:

The triangle is a right triangle, so we can use the Pythagorean theorem, where a and b are the lengths of the legs (the sides forming the right angle), and c is the length of the hypotenuse (the angle opposite the right angle).

a^2 + b^2 = c^2

y^2 + 8^2 = 12^2

y^2 + 64 = 144

y^2 = 80

y = sqrt(80)

y = sqrt(16 * 5)

y = 4sqrt(5)

y = 8.9

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